Fallibilism refutes the relativism on which the myth rests because fallibilism provides an absolute standard:

[T]here exists a very different attitude towards absolute truth, in fact a fallibilist attitude. It stresses the fact that the mistakes we make can be absolute mistakes, in the sense that our theories can be absolutely false – that they can fall short of the truth. Thus to the fallibilist the notion of truth, and that of falling short of the truth, may represent absolute standards – even though we can never be certain that we are living up to them. But since they may serve as a kind of steering compass, they may be of decisive help in critical discussions.

Fallibilism refutes the relativism on which the myth rests because fallibilism provides an absolute standard:

[T]here exists a very different attitude towards absolute truth, in fact a fallibilist attitude. It stresses the fact that the mistakes we make can be absolute mistakes, in the sense that our theories can be absolutely false – that they can fall short of the truth. Thus to the fallibilist the notion of truth, and that of falling short of the truth, may represent absolute standards – even though we can never be certain that we are living up to them. But since they may serve as a kind of steering compass, they may be of decisive help in critical discussions.

Popper then says that Alfred Tarsky revived this notion of absolute truth.